Application of caputo-fabrizio fractional order derivative (NFDt) in simulating the MHD flow of the third grade non-newtonian fluid in the porous artery

In this paper, the third grade non-Newtonian MHD blood flow in the porous arteries subjected to the periodic pressure gradient was studied using the Caputo-Fabrizio (NFDt ) time fractional order derivative. The time fractional model was solved by taking the Laplace and the finite Hankel transforms....

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Main Authors: Uddin, Salah, Mohamad, M., Sufahani, Suliadi Firdaus, Kamardan, MGhazali, Mehmood, Obaid Ullah, Wahid, Fazli, Roslan, R.
Format: Article
Published: Science Publishing Corporation 2018
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author Uddin, Salah
Mohamad, M.
Sufahani, Suliadi Firdaus
Kamardan, MGhazali
Mehmood, Obaid Ullah
Wahid, Fazli
Roslan, R.
author_facet Uddin, Salah
Mohamad, M.
Sufahani, Suliadi Firdaus
Kamardan, MGhazali
Mehmood, Obaid Ullah
Wahid, Fazli
Roslan, R.
author_sort Uddin, Salah
collection UTHM
description In this paper, the third grade non-Newtonian MHD blood flow in the porous arteries subjected to the periodic pressure gradient was studied using the Caputo-Fabrizio (NFDt ) time fractional order derivative. The time fractional model was solved by taking the Laplace and the finite Hankel transforms. Results were compared with those reported in the previous studies and good agreement was found. The Mathematica software was used to simulate the velocity profile and the Bessel functions with zero order and first order of first kind. The correlations between the flow velocity and the third grade non-Newtonian fluid parameter, the magnetic field and the porosity were negative. Nevertheless, the flow velocity increased with respect to the Womersely number.
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spelling uthm.eprints-42432021-12-01T07:30:41Z http://eprints.uthm.edu.my/4243/ Application of caputo-fabrizio fractional order derivative (NFDt) in simulating the MHD flow of the third grade non-newtonian fluid in the porous artery Uddin, Salah Mohamad, M. Sufahani, Suliadi Firdaus Kamardan, MGhazali Mehmood, Obaid Ullah Wahid, Fazli Roslan, R. TK7800-8360 Electronics In this paper, the third grade non-Newtonian MHD blood flow in the porous arteries subjected to the periodic pressure gradient was studied using the Caputo-Fabrizio (NFDt ) time fractional order derivative. The time fractional model was solved by taking the Laplace and the finite Hankel transforms. Results were compared with those reported in the previous studies and good agreement was found. The Mathematica software was used to simulate the velocity profile and the Bessel functions with zero order and first order of first kind. The correlations between the flow velocity and the third grade non-Newtonian fluid parameter, the magnetic field and the porosity were negative. Nevertheless, the flow velocity increased with respect to the Womersely number. Science Publishing Corporation 2018 Article PeerReviewed Uddin, Salah and Mohamad, M. and Sufahani, Suliadi Firdaus and Kamardan, MGhazali and Mehmood, Obaid Ullah and Wahid, Fazli and Roslan, R. (2018) Application of caputo-fabrizio fractional order derivative (NFDt) in simulating the MHD flow of the third grade non-newtonian fluid in the porous artery. International Journal of Engineering and Technology, 7 (4.30). pp. 527-532. ISSN 2227-524X https://dx.doi.org/ 10.14419/ijet.v7i4.30.28170
spellingShingle TK7800-8360 Electronics
Uddin, Salah
Mohamad, M.
Sufahani, Suliadi Firdaus
Kamardan, MGhazali
Mehmood, Obaid Ullah
Wahid, Fazli
Roslan, R.
Application of caputo-fabrizio fractional order derivative (NFDt) in simulating the MHD flow of the third grade non-newtonian fluid in the porous artery
title Application of caputo-fabrizio fractional order derivative (NFDt) in simulating the MHD flow of the third grade non-newtonian fluid in the porous artery
title_full Application of caputo-fabrizio fractional order derivative (NFDt) in simulating the MHD flow of the third grade non-newtonian fluid in the porous artery
title_fullStr Application of caputo-fabrizio fractional order derivative (NFDt) in simulating the MHD flow of the third grade non-newtonian fluid in the porous artery
title_full_unstemmed Application of caputo-fabrizio fractional order derivative (NFDt) in simulating the MHD flow of the third grade non-newtonian fluid in the porous artery
title_short Application of caputo-fabrizio fractional order derivative (NFDt) in simulating the MHD flow of the third grade non-newtonian fluid in the porous artery
title_sort application of caputo fabrizio fractional order derivative nfdt in simulating the mhd flow of the third grade non newtonian fluid in the porous artery
topic TK7800-8360 Electronics
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